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Finding the Third Proportional to 201,325.50 and 545,717.25

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Solution

The third proportional to 201,325.50 and 545,717.25 is: 1,479,232.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,325.50 : 545,717.25 = 545,717.25 : x
  2. Step 2: Convert to fraction form
    201,325.50/545,717.25 = 545,717.25/x
  3. Step 3: Cross multiply
    201,325.50x = 545,717.25 × 545,717.25
  4. Step 4: Simplify right side
    201,325.50x = 297,807,316,947.56
  5. Step 5: Solve for x
    x = 297,807,316,947.56/201,325.50
  6. Step 6: Final answer
    x = 1,479,232.97

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Why These Related Problems?

These problems maintain the same ratio (2.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.